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Finding the Fourth Proportional to 14,434.12, 21,634.37 and 6,111.37

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Solution

The fourth proportional to 14,434.12, 21,634.37 and 6,111.37 is: 9,159.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,434.12 : 21,634.37 = 6,111.37 : x
  2. Step 2: Convert to fraction form
    14,434.12/21,634.37 = 6,111.37/x
  3. Step 3: Cross multiply
    14,434.12x = 21,634.37 × 6,111.37
  4. Step 4: Simplify right side
    14,434.12x = 132,215,501.06
  5. Step 5: Solve for x
    x = 132,215,501.06/14,434.12
  6. Step 6: Final answer
    x = 9,159.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.